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Elena-2011 [213]
3 years ago
10

Problem 6

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

8 rabbits

22 chickens

Step-by-step explanation:

c = chickens

r = rabbits

heads - c + r = 30

legs - 2c + 4r = 76

We can now use these two equations to create one by isolating the variable (c) in the first equation.

c = 30 - r

2c + 4r = 76

2(30 - r) + 4r = 76

60 - 2r + 4r = 76

2r = 16

r = 8

Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
strojnjashka [21]

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

p\left( X=k\right)  =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

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Then

p\left( X=3\right)  =C^{3}_{8}(0.2)^{3}(0.8)^{5}

               =0.14680064

4 0
2 years ago
Solve<br>4(2x - 3) = 6x + 2​
vaieri [72.5K]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by  2:

x = 7

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4 0
3 years ago
(x + y + 2)(y + 1)<br> Solve
RideAnS [48]

Hello there! We are given the following equation and want to simplify it:

(x+y+2)(y+1)

First, let's use the Distributive Property:

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For this step, we are going to let:

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After applying this version of the Distributive Property, we are given the equation:

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We're going to use the distributive party again, but a slightly different version that's almost the same as first:

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Using this on both terms of the equation changes the equation to:

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Now, we just remove the parenthesis and combine like terms

y^2+3y+xy+x+2

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru

6 0
3 years ago
How do I figure this anser-6w &lt; 84​
Sophie [7]

Answer:

w > -14

Step-by-step explanation:

Divide both sides by -6.

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4 0
3 years ago
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I don’t know honestly
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